PMATH 440Analytic Number Theory
- Units
- 0.50
- Faculty
- Mathematics
- Subject
- Pure Mathematics
When it runs
- F24
- W25
- S25
- F25
- W26
- S26
- F26
- W27
- S27
Ran in 2 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.
Summation methods, analytic theory of the Riemann zeta function, Prime Number Theorem, primitive roots. Dirichlet characters and infinitude of primes in arithmetic progressions, and assorted topics.
Prerequisites
- Must have completed the following:
- PMATH352 - Complex Analysis (0.50)
Antirequisites
None listed.
Leads to
No course lists it as a requisite.
Reviewed on UW Flow
100% liked it25% easy38% useful
From 3 ratings and 2 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.
Rubinstein my goat. I probably would not have liked this class as much if I didn’t have him. Highly recommend him as a prof. He’s incredibly eccentric and also shows up 10 minutes late to every class, and will tell you funny stories if you poke around enough. The content was cool too.
Dec 2025 · liked itOn UW FlowRemove this
This course was not as interesting as I hoped it would be. The results are interesting, but the proofs are too complicated to be intuitive, so I didn't feel like I understood most of it very well. The final was 100% memorization, which was awful.
Mar 2018On UW FlowRemove this
Discussed on r/uwaterloo
10 posts and comments in 10 threads mention PMATH 440, November 2015 to December 2024. Quoted word for word, newest first; each reply sits under the post and the comment that started its branch. Search r/uwaterloo for newer posts.
Fall 2023
Any Math (MATH/CO/CS/AMATH/PMATH/ACTSC) courses with no final exam this term? 1 point, 7 comments
u/goataguero9: “PMATH 440, CS 346”
Spring 2021
Easiest PMATH 400 level courses? 2 points, 8 comments
u/BabuWithNoName: “pls help ive already killed my gpa enough i just wanna graduate My choices are between PMATH 440, 445, and 451.”
Officially Awarded Degree by UWaterloo! AMA for my university experience 4 points, 27 comments
“Background information for question drafting: \- CS, PMath, co-op (used to consider Math Finance) \- Almost non-existence programming experience prior to entering Waterloo \- International \- Joined …”
u/iKDX: “Really interested in your PMath component coming from a CS major. Which classes did you take? Was it double major or PMath minor? Was it easy? Was it useful? Did employers care you did PMath? …”
u/new_jan_2018: “The 6 required PMATH courses, and also PMATH 440, 445, 433. Double major. No :) For me it's manageable, but that's because I am strong in writing proofs and enjoy it a lot! …”
Fall 2020
Was there a class in UW that you took and you were sad that it was over? 11 points, 35 comments
u/BlazingMuddy-6305: “The ones that I would be sad about are MATH 145 and CS 466. Maybe also PMATH 352 but there's PMATH 440 coming in. Edit: Also CS 240 I think. One of the assignment problems comes from an open problem I think.”
PMATH 445 vs. 446 vs. 464 6 points, 4 comments
u/BlazingMuddy-6305: “… For the PMATH 400s requirement, I plan to have PMATH 440 and 441, but for the last slot I'm still indecisive between those in the title. The problem is that according to my study plan, I could only take PMATH 446 next term. Could you guys give some opinion 🙏? …”
Spring 2020
Fuck this bird course bullshit: what is the theoretical hardest term you could do? 49 points, 27 comments
“You're limited to a maximum of 5 classes, you're only allowed to do courses that would be allowed for the program/major you pick. …”
u/dotuanhiep: “Pmath 451, Pmath 453, Stat 901, Stat 433, Pmath 440. Btw, this is going to be my 3A.”
Fall 2017
What was your favourite class this term? 20 points, 53 comments
u/Tristan_Freiberg: “PMATH440”
Final Grades Discussion Megathread (Fall 2017) 64 points, 270 comments
“thank mr goose”
u/Masterpuri: “anyone else get rekt by the pmath 440 final? I felt like there was too much shit to memorize”
Any way to disable UWCourseLinker from posting? 16 points, 26 comments
“posting a reply to my comment I find the bot annoying.”
u/Jackhofmann: “PSYCH 483 PSYCH 484 PSYCH 485 PSYCH 486 PSYCH 490R PSYCH 499A PSYCH 499B PSYCH 499C PSYCH 621 PSYCH 630 PSYCH 677A PSYCH 704A PSYCH 704B PSYCH 707 PSYCH 710 PSYCH 714 PSYCH 717 PSYCH 720A PSYCH 721A …”
u/Jackhofmann: “… 704 PLAN 721 PLAN 801 PLAN 802 PMATH 330 PMATH 331 PMATH 336 PMATH 340 PMATH 347 PMATH 351 PMATH 440 PMATH 445 PMATH 451 PMATH 453 PMATH 465 PMATH 499 PMATH 651 PMATH 665 PMATH 740 PMATH 745 PMATH 753 PMATH 930 PMATH 940 PMATH 950 PMATH 990 PORT 101 PS 611 PS 614 PS 621 PS 624 …”
Fall 2015
Should I take PMATH 340 - Elementary Number Theory in 1B? 7 points, 9 comments
“It's only prerequisite is MATH135, and it fulfills requirements for both C&O and PMATH majors (both of which I'm considering). …”
u/Akinohana: “… If you are considering a PMATH major, you can probably get it covered in the abstract algebra courses + PMATH 440/441. It is a third year level course that is designed for all students interested in math (Notice there is no "not open to general math student" requirement). …”
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